9225679680 has 672 divisors, whose sum is σ = 39861110016. Its totient is φ = 1982693376.

The previous prime is 9225679651. The next prime is 9225679681. The reversal of 9225679680 is 869765229.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×9225679680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9225679681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9252942 + ... + 9253938.

It is an arithmetic number, because the mean of its divisors is an integer number (59317128).

Almost surely, 2^9225679680 is an apocalyptic number.

9225679680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9225679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19930555008).

9225679680 is an abundant number, since it is smaller than the sum of its proper divisors (30635430336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9225679680 is a wasteful number, since it uses less digits than its factorization.

9225679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 9225679680 is about 96050.4017690712. The cubic root of 9225679680 is about 2097.3268845169.

The spelling of 9225679680 in words is "nine billion, two hundred twenty-five million, six hundred seventy-nine thousand, six hundred eighty".